Recent developments in frame theory and their applications are the result of some mathematician's efforts in this topic (see [1]}, [2]}, [3]}, [4]}, [5]} and [6]}). By more than half a century, this theory has a interesting applications in different branches of science such as the filter bank theory, signal and image processing, wireless communications, atomic systems and Kadison-Singer problem. In 2005, Balan, Casazza and others were able to find some useful identities in the frames and fusion frames by studying the properties of the Parseval frames [7]}.
In [8]}, a special kind of frames is introduced which are called g-fusion frames that are the combination of g-frames and fusion frames. We present those identities in these frames.
